What is the Least Common Multiple of 61241 and 61249?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 61241 and 61249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61241 and 61249, than apply into the LCM equation.

GCF(61241,61249) = 1
LCM(61241,61249) = ( 61241 × 61249) / 1
LCM(61241,61249) = 3750950009 / 1
LCM(61241,61249) = 3750950009

Least Common Multiple (LCM) of 61241 and 61249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61241 and 61249. First we will calculate the prime factors of 61241 and 61249.

Prime Factorization of 61241

Prime Factorization of 61249

Now multiplying the highest exponent prime factors to calculate the LCM of 61241 and 61249.

LCM(61241,61249) = 47¹ × 1303¹ × 23¹ × 2663¹
LCM(61241,61249) = 3750950009